(a) Sketch $\theta=225^{\circ}$ in standard position.
Then sketch an angle between $-360^{\circ}$ and $0^{\circ}$ that is coterminal with $\theta$.

Answer

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Answer

The coterminal angle with $\theta=225^\circ$ in the range -360 to 0 degrees is $\boxed{-135^\circ}$

Steps

Step 1 ：Sketch the angle $\theta=225^\circ$ in standard position.

Step 2 ：Find a coterminal angle in the range -360 to 0 degrees by subtracting 360 degrees from the given angle until we get an angle in this range.

Step 3 ：Perform the calculation: $225^\circ - 360^\circ = -135^\circ$

Step 4 ：The coterminal angle with $\theta=225^\circ$ in the range -360 to 0 degrees is $\boxed{-135^\circ}$